Let ϕ and ψ be positive continuous functions on [0, 1) with ϕ(r) →0 as r→1 at least as fast as (1−r)a, but no faster than some other power (1−r)b, 0>a>b, and ϕ(r)ψ(r)=(1−r2)α, for some α>b. We first show that there are bounded projections fromLp,q, 1⩽p⩽∞,1⩽q⩽∞, the mixed-norm space of measurable functions on the unit ballBin CN, N ⩽ 1, onto Hp,q(ϕ), the mixed-norm space of analytic functions onB. Using these projections, we show that the dual ofHp-q(ϕ), 1 ⩽p⩽∞, 1⩽q>∞, is topologically isomorphic toHp,q(ψ), 1/p + 1/p′= 1, 1/q+1/q′=1.